Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 133 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#13094052 | C2 | semidirect |
| 2. C2×#13094044 | C2 | semidirect |
| 3. #15689687 | C2 | semidirect |
| 4. #15689604 | C2 | semidirect |
| 5. #15689348 | C2 | semidirect |
| 6. #15689341 | C2 | semidirect |
| 7. #15689322 | C2 | semidirect |
| 8. #15689317 | C2 | semidirect |
| 9. #15689151 | C2 | semidirect |
| 10. C2×#13093944 | C2 | semidirect |
| 11. C47×#417 | C2 | semidirect |
| 16. C2×#10625337 | C22 | semidirect |
| 18. C2×#10625335 | C22 | semidirect |
| 19. C2×#10625336 | C22 | semidirect |
| 21. C2×#10625334 | C22 | semidirect |
| 28. #13093989 | C22 | semidirect |
| 29. #13093986 | C22 | semidirect |
| 34. Dic47⋊C8 | C22 | semidirect |
| 35. Dic47⋊C8 | C22 | semidirect |
| 41. #103×C47 | C22 | semidirect |
| 42. #102×C47 | C22 | semidirect |
| 56. #10625350 | D4 | semidirect |
| 164. #417 | D47 | semidirect |
| 166. C47 | #3045 | semidirect |
| 194. #103 | C2×D47 | semidirect |
| 197. #102 | C2×D47 | semidirect |